BlondeAmbition, you are so right. It makes me grit my teeth, grrrrrrr. I'm not a very busty woman myself, and I don't think I've ever had an inappropriate look or comment from a man about my breasts, but I know plenty of women who have to deal with it. I mean, if you are well-endowed, what are you going to do? You can either cover up with a tent-like top and look matronly, or you can dress to flatter your bust and look a bit sexy. There is no other option. So men just have to be grown-ups, and not assume that a visible bust is an invitation for lewd stares.

Like Joyce B, I wear T-shirt bras under all my knit tops. This seems to resolve any "bipple" problems.

I think women ought to do whatever makes them feel comfortable. Period!
But I do get frustrated when the term modesty is applied to a personal choice. Modesty isn't about flattening and concealing my body because I want to ward off ill-mannered looks and comments from men--or women, for that matter. Showing a nipple bump doesn't make me immodest and unprofessional any more than wearing a padded bra makes me anti-feminist and conformist.

I am small-busted, but I have prominent nipples and sometimes a padded bra is not enough to conceal it. Wearing bandages/covers seems like overkill, so I just ignore it and go with my day. I don't think wearing a blouse+padded bra but with nipple bump is anyway the equivalent of a man going topless in terms of being appropriately dressed.

Everything Gaylene said!

In the lingerie section at Nordstrom, you can find a variety of little shieldy products for this, if you want to use them. They sort of stick on you, inside even the lightest of bras.

I agree, though, this is not a "problem" that any woman should feel obligated to solve. Solve or don't, as you choose, and as your circumstances suggest.

Ditto'ing Gaylene.

Too bad there's a misconception that visible nipples = sexual arousal. What if it's cold?

And the same for underarm hair. If a tank top is appropriate attire (for either sex), then, well, adult humans have body hair and if present it's going to show.

Some females have a fear of nipples being visible in public... It is called papillaphobia. Yours truly included. Solution-padded bras. Problem-summer heat and humidity.
This is strictly in personal sense. I totally agree that women shouldn't be forced to treat this as a problem if they don't feel it.